Final AP Pre-Calculus

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What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as the input approaches a. It indicates values that the function cannot take.

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How do you identify vertical asymptotes in rational functions?

Back

Vertical asymptotes can be found by setting the denominator of a rational function equal to zero and solving for x.

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Front

How do you combine logarithms?

Back

Front

What is the leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree, which determines the end behavior of the function.

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What does a negative coefficient in a polynomial indicate about its end behavior?

Back

A negative coefficient indicates that as x approaches positive or negative infinity, the function will approach negative infinity.

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What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have the same end behavior on both sides (both up or both down), while odd degree polynomials have opposite end behavior (one side up, the other down).

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How do you find the range of a quadratic function?

Back

To find the range of a quadratic function, identify the vertex and determine if the parabola opens upwards or downwards.

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What is the significance of the vertex in a quadratic function?

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The vertex represents the maximum or minimum point of the quadratic function, depending on the direction it opens.